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Simplifying 7x + -1(x + -4) = 2x + 4(x + 1) Reorder the terms: 7x + -1(-4 + x) = 2x + 4(x + 1) 7x + (-4 * -1 + x * -1) = 2x + 4(x + 1) 7x + (4 + -1x) = 2x + 4(x + 1) Reorder the terms: 4 + 7x + -1x = 2x + 4(x + 1) Combine like terms: 7x + -1x = 6x 4 + 6x = 2x + 4(x + 1) Reorder the terms: 4 + 6x = 2x + 4(1 + x) 4 + 6x = 2x + (1 * 4 + x * 4) 4 + 6x = 2x + (4 + 4x) Reorder the terms: 4 + 6x = 4 + 2x + 4x Combine like terms: 2x + 4x = 6x 4 + 6x = 4 + 6x Add '-4' to each side of the equation. 4 + -4 + 6x = 4 + -4 + 6x Combine like terms: 4 + -4 = 0 0 + 6x = 4 + -4 + 6x 6x = 4 + -4 + 6x Combine like terms: 4 + -4 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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